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Modelling passenger assignments in public transport networks is a fundamental task for city planners, especially when deliberating network infrastructure decisions. A key aspect of a realistic model is to integrate passengers' selfish…

Computer Science and Game Theory · Computer Science 2025-10-02 Tobias Harks , Sven Jäger , Michael Markl , Philine Schiewe

To address efficiency and design challenges in choice-based matching platforms, we introduce a two-sided assortment optimization framework under general choice preferences. The goal in this problem is to maximize the expected number of…

Optimization and Control · Mathematics 2026-05-08 Omar El Housni , Ulysse Hennebelle , Alfredo Torrico

We consider a dynamic assortment selection problem where a seller has a fixed inventory of $N$ substitutable products and faces an unknown demand that arrives sequentially over $T$ periods. In each period, the seller needs to decide on the…

Machine Learning · Computer Science 2024-01-25 Abdellah Aznag , Vineet Goyal , Noemie Perivier

We study the properties of a subclass of stochastic processes called discrete time nonlinear Markov chains with an aggregator, which naturally appear in various topics such as strategic queueing systems, inventory dynamics, opinion…

Probability · Mathematics 2025-12-24 Bar Light

We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed to change with time. We introduce an…

Machine Learning · Computer Science 2013-03-14 Yasin Abbasi-Yadkori , Peter L. Bartlett , Csaba Szepesvari

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

Optimization and Control · Mathematics 2025-02-17 Xinyi Guan , Velibor V. Mišić

This paper examines the relationship between user pageview (PV) histories and their item-choice behavior on an e-commerce website. We focus on PV sequences, which represent time series of the number of PVs for each user--item pair. We…

Information Retrieval · Computer Science 2020-05-26 Naoki Nishimura , Noriyoshi Sukegawa , Yuichi Takano , Jiro Iwanaga

Caching algorithms try to predict content popularity, and place the content closer to the users. Additionally, nowadays requests are increasingly driven by recommendation systems (RS). These important trends, point to the following:…

Networking and Internet Architecture · Computer Science 2021-10-05 Theodoros Giannakas , Pavlos Sermpezis , Thrasyvoulos Spyropoulos

In this work we study the optimal execution problem with multiplicative price impact in algorithm trading, when an agent holds an initial position of shares of a financial asset. The inter-selling-decision times are modelled by the arrival…

Mathematical Finance · Quantitative Finance 2018-05-04 Daniel Hernández-Hernández , Harold A. Moreno-Franco , José Luis Pérez

We address the problem of active online assortment optimization problem with preference feedback, which is a framework for modeling user choices and subsetwise utility maximization. The framework is useful in various real-world applications…

Machine Learning · Computer Science 2024-03-01 Aadirupa Saha , Pierre Gaillard

We study a classical Bayesian mechanism design problem where a seller is selling multiple items to multiple buyers. We consider the case where the seller has costs to produce the items, and these costs are private information to the seller.…

Computer Science and Game Theory · Computer Science 2020-04-20 Yang Cai , Mingfei Zhao

We develop exact simulation (also known as perfect sampling) algorithms for a family of assemble-to-order systems. Due to the finite capacity, and coupling in demands and replenishments, known solving techniques are inefficient for larger…

Probability · Mathematics 2014-02-24 Ana Bušić , Emilie Coupechoux

In this paper we consider multidimensional mechanism design problem for selling discrete substitutable items to a group of buyers. Previous work on this problem mostly focus on stochastic description of valuations used by the seller.…

Computer Science and Game Theory · Computer Science 2017-01-05 Maciej Drwal

We study mechanisms for selling a single item when buyers have private costs for participating in the mechanism. An agent's participation cost can also be interpreted as an outside option value that she must forego to participate. This…

Computer Science and Game Theory · Computer Science 2023-11-07 Yannai A. Gonczarowski , Nicole Immorlica , Yingkai Li , Brendan Lucier

We consider a multi-retailer supply chain where each retailer can dynamically choose when to share information (e.g., local inventory levels or demand observations) with other retailers, incurring a communication cost for each sharing…

Optimization and Control · Mathematics 2025-07-15 Sagar Sudhakara , Yuchong Zhang

Markov switching models are a popular family of models that introduces time-variation in the parameters in the form of their state- or regime-specific values. Importantly, this time-variation is governed by a discrete-valued latent…

Econometrics · Economics 2023-11-13 Yong Song , Tomasz Woźniak

We consider an online assortment problem with $[n]:=\{1,2,\ldots,n\}$ sellers, each holding exactly one item $i\in[n]$ with initial inventory $c_i\in \mathbb{Z}_+$, and a sequence of homogeneous buyers arriving over a finite time horizon…

Computer Science and Game Theory · Computer Science 2021-12-10 S. Rasoul Etesami

We report an analytic and numerical study of a phase transition in a P problem (the assignment problem) that separates two phases whose representatives are the simple matching problem (an easy P problem) and the traveling salesman problem…

Computational Complexity · Computer Science 2007-05-23 J. G. Esteve , F. Falceto

We study a dynamic portfolio optimization problem related to convergence trading, which is an investment strategy that exploits temporary mispricing by simultaneously buying relatively underpriced assets and selling short relatively…

Portfolio Management · Quantitative Finance 2019-10-08 Sühan Altay , Katia Colaneri , Zehra Eksi

We consider the routing flow shop problem with two machines on an asymmetric network. For this problem we discuss properties of an optimal schedule and present a polynomial time algorithm assuming the number of nodes of the network to be…

Discrete Mathematics · Computer Science 2020-05-14 Ilya Chernykh , Alexander Kononov , Sergey Sevastyanov